lorentzian structure
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2019 ◽  
Vol 486 (3) ◽  
pp. 275-279
Author(s):  
M. B. Karmanova

For classes of graph mappings constructed from CH1 -mappings of nilpotent graded groups, we prove area formula on sub-Lorentzian structures of arbitrary depth with multi-dimensional time.



2019 ◽  
Vol 485 (6) ◽  
pp. 662-666
Author(s):  
M. B. Karmanova

We deduce sufficient maximality conditions for graph surfaces on two-step Carnot groups with sub-Lorentzian structure.



2019 ◽  
Vol 485 (2) ◽  
pp. 145-148
Author(s):  
M. B. Karmanova

For graph mappings constructed from sufficiently smooth mappings of nilpotent graded groups, we prove area formula on sub-Lorentzian structures of arbitrary depth with multi-dimensional time.





2019 ◽  
Vol 99 (2) ◽  
pp. 145-148 ◽  
Author(s):  
M. B. Karmanova


2015 ◽  
Vol 11 (7) ◽  
pp. 3211-3224 ◽  
Author(s):  
Juyong Lee ◽  
Keehyoung Joo ◽  
Bernard R. Brooks ◽  
Jooyoung Lee


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